42030032000 has 256 divisors, whose sum is σ = 116445288960. Its totient is φ = 14955520000.

The previous prime is 42030031997. The next prime is 42030032027. The reversal of 42030032000 is 23003024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8269460 + ... + 8274540.

It is an arithmetic number, because the mean of its divisors is an integer number (454864410).

Almost surely, 2^42030032000 is an apocalyptic number.

42030032000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42030032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58222644480).

42030032000 is an abundant number, since it is smaller than the sum of its proper divisors (74415256960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42030032000 is a wasteful number, since it uses less digits than its factorization.

42030032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168 (or 5146 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 42030032000 its reverse (23003024), we get a palindrome (42053035024).

The spelling of 42030032000 in words is "forty-two billion, thirty million, thirty-two thousand", and thus it is an eban number.